Real Analysis Exchange

Unilateral I-approximate Limits of Real Functions

Rafał Zduńczyk

Source: Real Anal. Exchange Volume 34, Number 1 (2008), 105-114.

Abstract

We consider sets of generalized discontinuity of real functions with respect to local systems fulfilling the intersection condition. We give a sufficient condition for countability of such set. This result is used to prove its $\II$-density analogue.

Primary Subjects: 26A03,26A15, 26A03
Keywords: local system ; intersection condition ; I-approximate continuity ; I-density topology

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rae/1242738923
Mathematical Reviews number (MathSciNet): MR2527125


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